Quadrilaterals & Symmetry

Interior Angle Calculations

Using the formula, calculate the Sum of the Interior Angles for

  • A Hexagon (n=6)
  • A Heptagon (n=7)
  • A Dodecagon (n=12)
  • An Enneaconta-heptagon (n=97)
Sum\ of\ Interior\ Angles = (n-2)\times 180

What is the Sum of EXTERIOR Angles? 🧐

Symmetry of Ice

Crystal Structure of Ice

Symmetry of a Square, Pentagon, Hexagon, and Everything Else

  • Identify order of rotational symmetry
  • Identify planes of mirror symmetry

Symmetric 3D Shapes are found in Nature (e.g. Quartz)

Quartz
https://www.mindat.org/min-3337.html

 

Other Crystals

http://phys.bspu.unibel.by/static/infoteka/cryst/minerals.html

 

Platonic Solids!

https://mathigon.org/course/polyhedra/platonic

S2 Quadrilaterals

By Jay Teach

S2 Quadrilaterals

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